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Light meson electromagnetic form factors from three-flavor lattice QCD with exact chiral symmetry

S. Aoki1,2, G. Cossu3, X. Feng4, S. Hashimoto3,5, T. Kaneko3,5, J. Noaki3, and T. Onogi6

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2Center for Computational Sciences, University of Tsukuba, Ibaraki 305-8577, Japan
  • 3High Energy Accelerator Research Organization (KEK), Ibaraki 305-0801, Japan
  • 4Physics Department, Columbia University, New York, New York 10027, USA
  • 5School of High Energy Accelerator Science, SOKENDAI (The Graduate University for Advanced Studies), Ibaraki 305-0801, Japan
  • 6Department of Physics, Osaka University, Osaka 560-0043, Japan

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Phys. Rev. D 93, 034504 – Published 16 February, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.034504

Abstract

We study the chiral behavior of the electromagnetic (EM) form factors of pions and kaons in three-flavor lattice QCD. In order to make a direct comparison of the lattice data with chiral perturbation theory (ChPT), we employ the overlap quark action that has exact chiral symmetry. Gauge ensembles are generated at a lattice spacing of 0.11 fm with four pion masses ranging between Mπ≃290  MeV and 540 MeV and with a strange quark mass ms close to its physical value. We utilize the all-to-all quark propagator technique to calculate the EM form factors with high precision. Their dependence on ms and on the momentum transfer is studied by using the reweighting technique and the twisted boundary conditions for the quark fields, respectively. A detailed comparison with SU(2) and SU(3) ChPT reveals that the next-to-next-to-leading order terms in the chiral expansion are important to describe the chiral behavior of the form factors in the pion mass range studied in this work. We estimate the relevant low-energy constants and the charge radii, and find reasonable agreement with phenomenological and experimental results.

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Phys. Rev. D 93, 034504– Published 16 February, 2016
  • Received 12 November 2015

© 2016 American Physical Society

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